I've stayed at the Dauphine Orleans with my family many times over the years. The last time was only a few months after Hurricane Katrina, in 2006. Although the French Quarter wasn't touched, the whole city had been evacuated and was suffering, and the hotel was almost empty. I'm glad to see it has recovered and it was going strong when I was there on two recent stays.
The first night was in the new courtyard annex across the street. The room was far more luxurious than I was expecting and worthy of a honeymoon couple. There is a quiet private courtyard, but no pool-- for that you would have to go across the street. There is no elevator on this side (the main hotel does). Some of the rooms are off a second-floor balcony, including ours. This was a very pleasant, quiet place to stay. I have added a photo of the courtyard.
The second night, we came back a week later and for the same price as the nice room we had before were "upgraded" to a room that wasn't actually nicer although it was slightly larger. It did have a balcony on the street. Dauphine Street is not a street that I particularly want to be on-- our room was right above the garage entrance and it was Saturday night. All night long till four in the morning there was noise, car alarms, police, and drunks fighting-- this is not the posh side of the Quarter. I will definitely check that I don't stay on the street side next time.
The air conditioning and bathrooms and mattresses were clean and comfortable, and there was an iron and ironing board in the room. (You can get wilted in the heat outside.) We didn't use the swimming pool these times but it was being used by happy children when I went to look. Not only is there a nice breakfast but the hotel keeps ice tea and lemon water available all day in big coolers.
All the employees I have met from the hotel seem very pleasant and competent and eager to help you enjoy New Orleans. The parking is by valet and is an additional cost, but you're lucky to have onsite parking at all in the Quarter. There is also a nice little bar.
The hotel is on the edge of a slightly iffy area, although its own block is fine. This is just because there is a lot of crime in New Orleans. Going one street in the wrong direction in this city can be a big mistake. My local contacts all warned me not to walk around after ten at night, but I did so until midnight (two of us) and had no problems. All the same, I know New Orleans and was careful to stay on well-populated streets as we did. The hotel is centrally located and a great place to walk out to see the city from.
All in all, it remains my New Orleans staple.